What is the Greatest Common Factor of 66849 and 66859?

Greatest common factor (GCF) of 66849 and 66859 is 1.

GCF(66849,66859) = 1

We will now calculate the prime factors of 66849 and 66859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66849 and 66859.

How to find the GCF of 66849 and 66859?

We will first find the prime factorization of 66849 and 66859. After we will calculate the factors of 66849 and 66859 and find the biggest common factor number .

Step-1: Prime Factorization of 66849

Prime factors of 66849 are 3, 22283. Prime factorization of 66849 in exponential form is:

66849 = 3¹ × 22283¹

Step-2: Prime Factorization of 66859

Prime factors of 66859 are 13, 37, 139. Prime factorization of 66859 in exponential form is:

66859 = 13¹ × 37¹ × 139¹

Step-3: Factors of 66849

List of positive integer factors of 66849 that divides 66849 without a remainder.

1, 3, 22283

Step-4: Factors of 66859

List of positive integer factors of 66859 that divides 66849 without a remainder.

1, 13, 37, 139, 481, 1807, 5143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66849 and 66859. The biggest common factor number is the GCF number.
So the greatest common factor 66849 and 66859 is 1.

Also check out the Least Common Multiple of 66849 and 66859